Description

• Title:
  Differential inclusions on closed sets in Banach spaces with application to sweeping process
• Creator:
  Benabdellah, Houcine
• Description:
  This paper deals with the existence of absolutely continuous solutions of a differential inclusion with state constraint in a separable Banach space% $$ x( 0) =x_{0}, \quad x( t) \in C( t) ,\quad \dot{x}( t) \in F( t,x( t) ) $$ where $C\colon [ 0,a] \rightarrow X$ is a multifunction with closed graph $G$ and $F\colon G\rightarrow X$ is a convex compact valued multifunction which is separately measurable in $t\in[ 0,a] $ and separately upper semicontinuous in $x\in X$. Application to a non convex sweeping process is also considered.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2004.03.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 23, No 1 (March 2004); 115 - 148;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2004.006/9219
• Subject:
  Differential inclusions;
  Bouligand cone;
  Scorza-Dragoni theorem;
  Primary 05C38;
  15A15;
  Secondary 05A15;
  15A18
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2004.006
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other